## An N-dimensional version of the Beurling-Ahlfors extension

##### Authors
Kovalev, Leonid V.
Onninen, Jani
##### Description
We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator. In the case n=1 it yields a refinement of the Beurling-Ahlfors extension.
Comment: 9 pages. Added references, edited concluding remarks
##### Keywords
Mathematics - Complex Variables, 30C65, 47H05, 47B34